Matches in SemOpenAlex for { <https://semopenalex.org/work/W96049922> ?p ?o ?g. }
- W96049922 endingPage "154" @default.
- W96049922 startingPage "125" @default.
- W96049922 abstract "We propose a new numerical method for solving the boundary value problems of ordinary differential equations (ODEs) under multipoint boundary conditions specified at t = Ti; i = 1;:::;m, where T1 < ::: < Tm. The finite dif- ference scheme is used to approximate the ODEs, which together with the m-point boundary conditions constitute a system of nonlinear algebraic equations (NAEs). Then a Fictitious Time Integration Method (FTIM) is used to solve these NAEs. Numerical examples confirm that the new approach is highly accurate and efficient with a fast convergence. The FTIM can also be used to find the periods of nonlin- ear ODEs system and its corresponding periodic solutions, as the van der Pol and Duffing equations are investigated here. The numerical examples also include a vibration problem of the Euler-Bernoulli beam under three-point boundary condi- tions. The present method has a number advantages of easy implementation, easily to treat nonlinear multipoint boundary value problems, and easily to extend to a higher-dimensional first-order ODEs." @default.
- W96049922 created "2016-06-24" @default.
- W96049922 creator A5090276712 @default.
- W96049922 date "2009-01-01" @default.
- W96049922 modified "2023-09-27" @default.
- W96049922 title "A Fictitious Time Integration Method for Solving$m$-Point Boundary Value Problems" @default.
- W96049922 cites W113604480 @default.
- W96049922 cites W129258173 @default.
- W96049922 cites W143318234 @default.
- W96049922 cites W1488568420 @default.
- W96049922 cites W1507774654 @default.
- W96049922 cites W1510003436 @default.
- W96049922 cites W1568666422 @default.
- W96049922 cites W1570752092 @default.
- W96049922 cites W1591985605 @default.
- W96049922 cites W159758309 @default.
- W96049922 cites W190394175 @default.
- W96049922 cites W1968555722 @default.
- W96049922 cites W1972404575 @default.
- W96049922 cites W1975596565 @default.
- W96049922 cites W1984154710 @default.
- W96049922 cites W1990208451 @default.
- W96049922 cites W1990635122 @default.
- W96049922 cites W1990706544 @default.
- W96049922 cites W1993040029 @default.
- W96049922 cites W1994359423 @default.
- W96049922 cites W1996271425 @default.
- W96049922 cites W2009085283 @default.
- W96049922 cites W2015067877 @default.
- W96049922 cites W2027526085 @default.
- W96049922 cites W2032092333 @default.
- W96049922 cites W2035622152 @default.
- W96049922 cites W2042050557 @default.
- W96049922 cites W2049616852 @default.
- W96049922 cites W2062585761 @default.
- W96049922 cites W2063357771 @default.
- W96049922 cites W2074922219 @default.
- W96049922 cites W2075521265 @default.
- W96049922 cites W2078549573 @default.
- W96049922 cites W2081208885 @default.
- W96049922 cites W2091795718 @default.
- W96049922 cites W2092256665 @default.
- W96049922 cites W2100028319 @default.
- W96049922 cites W2101359386 @default.
- W96049922 cites W2113333224 @default.
- W96049922 cites W2121897325 @default.
- W96049922 cites W2133767128 @default.
- W96049922 cites W2155255194 @default.
- W96049922 cites W2162466202 @default.
- W96049922 cites W2249121709 @default.
- W96049922 cites W2249737047 @default.
- W96049922 cites W4469292 @default.
- W96049922 cites W61118079 @default.
- W96049922 cites W73985004 @default.
- W96049922 cites W8290342 @default.
- W96049922 cites W97682786 @default.
- W96049922 doi "https://doi.org/10.3970/cmes.2009.039.125" @default.
- W96049922 hasPublicationYear "2009" @default.
- W96049922 type Work @default.
- W96049922 sameAs 96049922 @default.
- W96049922 citedByCount "11" @default.
- W96049922 countsByYear W960499222012 @default.
- W96049922 countsByYear W960499222013 @default.
- W96049922 countsByYear W960499222014 @default.
- W96049922 countsByYear W960499222015 @default.
- W96049922 countsByYear W960499222016 @default.
- W96049922 crossrefType "journal-article" @default.
- W96049922 hasAuthorship W96049922A5090276712 @default.
- W96049922 hasConcept C121332964 @default.
- W96049922 hasConcept C127349201 @default.
- W96049922 hasConcept C134306372 @default.
- W96049922 hasConcept C152361515 @default.
- W96049922 hasConcept C158622935 @default.
- W96049922 hasConcept C162324750 @default.
- W96049922 hasConcept C182310444 @default.
- W96049922 hasConcept C23917780 @default.
- W96049922 hasConcept C26955809 @default.
- W96049922 hasConcept C2777303404 @default.
- W96049922 hasConcept C28826006 @default.
- W96049922 hasConcept C33923547 @default.
- W96049922 hasConcept C34862557 @default.
- W96049922 hasConcept C48753275 @default.
- W96049922 hasConcept C50522688 @default.
- W96049922 hasConcept C51544822 @default.
- W96049922 hasConcept C62354387 @default.
- W96049922 hasConcept C62520636 @default.
- W96049922 hasConcept C62884695 @default.
- W96049922 hasConcept C75380026 @default.
- W96049922 hasConcept C78045399 @default.
- W96049922 hasConcept C97355855 @default.
- W96049922 hasConceptScore W96049922C121332964 @default.
- W96049922 hasConceptScore W96049922C127349201 @default.
- W96049922 hasConceptScore W96049922C134306372 @default.
- W96049922 hasConceptScore W96049922C152361515 @default.
- W96049922 hasConceptScore W96049922C158622935 @default.
- W96049922 hasConceptScore W96049922C162324750 @default.
- W96049922 hasConceptScore W96049922C182310444 @default.
- W96049922 hasConceptScore W96049922C23917780 @default.